Why don't you like leaving the sweaty clothes in your bag? I did this for years... like 20 years, and it never ruined any of my workout clothes, cycling shorts or anything else.
What I didn't like was the odor in my bag, so I bought a better gym bag with a special place for your dirty clothes. I'd wipe it out after a couple of uses, and it became a non-issue. Hey, for years, my car smelled like a dirty gym locker, because I would leave the clothes in the back of my car while I was at work. In Arizona, no less. I guess I was just used to it.
I sweat like hell, and I am quite proud of it. Whoever says women "perspire" needs to get used to the idea that we are no different than men in this regard.